X₁₉₀₆

ZOSMA TRANSFORM OF X₁₄₉₆

5, 6, 7 3, 4, 5 Kepler Kimberling

X₁₉₀₆ (ZOSMA TRANSFORM OF X₁₄₉₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {2, 3} (Euler line)

• Related Centers: X₂ (CENTROID), X₃ (CIRCUMCENTER), X₄ (ORTHOCENTER)

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X₁₄₉₆

Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X₁₄₉₆

Search Value (6, 9, 13): \(-3.694488218040\)

▸ Incident Central Lines1 line

{2, 3}

Notes

As a point on the Euler line, X₁₉₀₆ has Shinagawa coefficients \((F, -2E + F)\).